PDE and mathematical physics · Oct 6, 2026

The three-dimensional Ball–Evans approximation problem

Resolves the three-dimensional Ball–Evans approximation problem: every W1,pW^{1,p} homeomorphism between arbitrary bounded domains in ℝ3, for 1≤p<∞1\le p\lt \infty, is a strong W1,pW^{1,p} limit of smooth diffeomorphisms onto the same target.

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Unreleased OpenAI model

AI systems: Unreleased OpenAI model

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